Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅×C₁₀

Direct product G=N×Q with N=C₂² and Q=D₅×C₁₀

		d	ρ	Label	ID
D₅×C₂²×C₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=C₂² and Q=D₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(D₅×C₁₀) = C₅×D₄×D₅	φ: D₅×C₁₀/C₅×D₅ → C₂ ⊆ Aut C₂²	40	4	C2^2:1(D5xC10)	400,185
C₂²⋊₂(D₅×C₁₀) = C₁₀×C₅⋊D₄	φ: D₅×C₁₀/C₅×C₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:2(D5xC10)	400,190

Non-split extensions G=N.Q with N=C₂² and Q=D₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₅×C₁₀) = C₅×D₄⋊₂D₅	φ: D₅×C₁₀/C₅×D₅ → C₂ ⊆ Aut C₂²	40	4	C2^2.1(D5xC10)	400,186
C₂².₂(D₅×C₁₀) = C₅×C₄○D₂₀	φ: D₅×C₁₀/C₅×C₁₀ → C₂ ⊆ Aut C₂²	40	2	C2^2.2(D5xC10)	400,184
C₂².₃(D₅×C₁₀) = Dic₅×C₂₀	central extension (φ=1)	80		C2^2.3(D5xC10)	400,83
C₂².₄(D₅×C₁₀) = C₅×C₁₀.D₄	central extension (φ=1)	80		C2^2.4(D5xC10)	400,84
C₂².₅(D₅×C₁₀) = C₅×C₄⋊Dic₅	central extension (φ=1)	80		C2^2.5(D5xC10)	400,85
C₂².₆(D₅×C₁₀) = C₅×D₁₀⋊C₄	central extension (φ=1)	80		C2^2.6(D5xC10)	400,86
C₂².₇(D₅×C₁₀) = C₅×C₂³.D₅	central extension (φ=1)	40		C2^2.7(D5xC10)	400,91
C₂².₈(D₅×C₁₀) = C₁₀×Dic₁₀	central extension (φ=1)	80		C2^2.8(D5xC10)	400,181
C₂².₉(D₅×C₁₀) = D₅×C₂×C₂₀	central extension (φ=1)	80		C2^2.9(D5xC10)	400,182
C₂².₁₀(D₅×C₁₀) = C₁₀×D₂₀	central extension (φ=1)	80		C2^2.10(D5xC10)	400,183
C₂².₁₁(D₅×C₁₀) = Dic₅×C₂×C₁₀	central extension (φ=1)	80		C2^2.11(D5xC10)	400,189

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